Calc ab Unit 7 Progress Check mcq
Let y=f(x) be the particular solution to the
differential equation dydx=ex 1ey with
the
0.349
initial condition f(1)=0. What is the value of f( 2) ?
The rate of change of the volume V with respect to time t of water
leaking from a tank is proportional to the cube of the dV/dt= 0.2V^3
volume. Which of the following is a differential equation that could
describe this relationship?
A hard-boiled egg is removed from a pot of hot water and set on the
table to cool. The rate of change of the egg's temperature T with
respect to time t is proportional to the difference between the egg's
dT/dt=k(T 75) temperature in degrees Fahrenheit (°F) and the room
temperature of 75°F. Which of the following is a differential equation
that describes this relationship, where k is a constant?
Out of a total of N students at a school, the number of students who
have seen a new television program increases at a rate proportional
to the product of the number of students who have seen the
program and the number of students dS/dt=kS(N S) who have not
seen the program. If S denotes the number of students who have
seen the program at time t, which of the following differential
equations could be used to model this situation, where k is a positive
constant?
Which of the following is a solution to the
y=5x^3 2 differential equation xy2 3y=6 ?
Of the following, which are solutions to
the differential equation 4y+y22=0 ? 1 and 2 only
1. y=3sin(2x)
2. y=5cos(2x)
3. y=e^2x
Of the following, which is not a solution y=4e^ 2x to the differential
equation y222+4y2=0?
Shown above is the slope field for which dy/dx= xy of the following
differential equations?
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Let y=f(x) be the particular solution to the
differential equation dydx=ex 1ey with
the
0.349
initial condition f(1)=0. What is the value of f( 2) ?
The rate of change of the volume V with respect to time t of water
leaking from a tank is proportional to the cube of the dV/dt= 0.2V^3
volume. Which of the following is a differential equation that could
describe this relationship?
A hard-boiled egg is removed from a pot of hot water and set on the
table to cool. The rate of change of the egg's temperature T with
respect to time t is proportional to the difference between the egg's
dT/dt=k(T 75) temperature in degrees Fahrenheit (°F) and the room
temperature of 75°F. Which of the following is a differential equation
that describes this relationship, where k is a constant?
Out of a total of N students at a school, the number of students who
have seen a new television program increases at a rate proportional
to the product of the number of students who have seen the
program and the number of students dS/dt=kS(N S) who have not
seen the program. If S denotes the number of students who have
seen the program at time t, which of the following differential
equations could be used to model this situation, where k is a positive
constant?
Which of the following is a solution to the
y=5x^3 2 differential equation xy2 3y=6 ?
Of the following, which are solutions to
the differential equation 4y+y22=0 ? 1 and 2 only
1. y=3sin(2x)
2. y=5cos(2x)
3. y=e^2x
Of the following, which is not a solution y=4e^ 2x to the differential
equation y222+4y2=0?
Shown above is the slope field for which dy/dx= xy of the following
differential equations?
1/3
